Pulse SMS's blocklist-by-phrase feature would allow you to disable any of these types of messages. If you blocklist the exact phrase that you don't want to see, such as "Liked a photo", those messages would be discarded when they are received.
If this is something you want to do, we recommend long-pressing the messages and copying the exact message text (or a subset of the text), because Apple may use different characters for their quotations, etc. Copying and pasting the text of the message into a blocklist would ensure you are blocking the correct characters.